TSTP Solution File: SWV313-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV313-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:32:55 EDT 2023

% Result   : Unsatisfiable 0.16s 0.57s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV313-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 06:01:47 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.53  start to proof:theBenchmark
% 0.16/0.57  %-------------------------------------------
% 0.16/0.57  % File        :CSE---1.6
% 0.16/0.57  % Problem     :theBenchmark
% 0.16/0.57  % Transform   :cnf
% 0.16/0.57  % Format      :tptp:raw
% 0.16/0.57  % Command     :java -jar mcs_scs.jar %d %s
% 0.16/0.57  
% 0.16/0.57  % Result      :Theorem 0.000000s
% 0.16/0.57  % Output      :CNFRefutation 0.000000s
% 0.16/0.57  %-------------------------------------------
% 0.16/0.57  %------------------------------------------------------------------------------
% 0.16/0.57  % File     : SWV313-2 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.57  % Domain   : Software Verification (Security)
% 0.16/0.57  % Problem  : Cryptographic protocol problem for Otway Rees
% 0.16/0.57  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.16/0.57  % English  :
% 0.16/0.57  
% 0.16/0.57  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.16/0.57  % Source   : [Pau06]
% 0.16/0.57  % Names    :
% 0.16/0.57  
% 0.16/0.57  % Status   : Unsatisfiable
% 0.16/0.57  % Rating   : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0
% 0.16/0.57  % Syntax   : Number of clauses     :    8 (   6 unt;   1 nHn;   8 RR)
% 0.16/0.57  %            Number of literals    :   14 (   0 equ;   7 neg)
% 0.16/0.57  %            Maximal clause size   :    6 (   1 avg)
% 0.16/0.57  %            Maximal term depth    :    7 (   2 avg)
% 0.16/0.57  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.16/0.57  %            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
% 0.16/0.57  %            Number of variables   :    8 (   0 sgn)
% 0.16/0.57  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.16/0.57  
% 0.16/0.57  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.16/0.57  %            of which only a small selection are required for the refutation.
% 0.16/0.57  %            The mission is to find those few axioms, after which a refutation
% 0.16/0.57  %            can be quite easily found. This version has only the necessary
% 0.16/0.57  %            axioms.
% 0.16/0.57  %------------------------------------------------------------------------------
% 0.16/0.57  cnf(cls_conjecture_0,negated_conjecture,
% 0.16/0.57      c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_conjecture_1,negated_conjecture,
% 0.16/0.57      ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_conjecture_2,negated_conjecture,
% 0.16/0.57      ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_conjecture_3,negated_conjecture,
% 0.16/0.57      ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_conjecture_4,negated_conjecture,
% 0.16/0.57      c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_conjecture_5,negated_conjecture,
% 0.16/0.57      c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_Message_Oanalz_OInj_0,axiom,
% 0.16/0.57      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 0.16/0.57      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.16/0.57  
% 0.16/0.57  cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
% 0.16/0.57      ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 0.16/0.57      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.16/0.57      | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.16/0.57      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.16/0.57      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.16/0.57      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.16/0.57  
% 0.16/0.57  %------------------------------------------------------------------------------
% 0.16/0.57  %-------------------------------------------
% 0.16/0.57  % Proof found
% 0.16/0.57  % SZS status Theorem for theBenchmark
% 0.16/0.57  % SZS output start Proof
% 0.16/0.58  %ClaNum:8(EqnAxiom:0)
% 0.16/0.58  %VarNum:22(SingletonVarNum:8)
% 0.16/0.58  %MaxLitNum:6
% 0.16/0.58  %MaxfuncDepth:6
% 0.16/0.58  %SharedTerms:33
% 0.16/0.58  %goalClause: 1 2 3 4 5 6
% 0.16/0.58  %singleGoalClaCount:6
% 0.16/0.58  [4]~P1(a20,a7,a19)
% 0.16/0.58  [5]~P1(a21,a7,a19)
% 0.16/0.58  [1]P1(a1,a2,f16(a14))
% 0.16/0.58  [2]P1(f3(a17),f5(a4,a1),a18)
% 0.16/0.58  [6]~P1(f8(a4,f13(a22,f13(a23,f3(a17)))),f10(a1,a14),a14)
% 0.16/0.58  [3]P1(f6(a9,a20,f13(a22,f13(f11(f15(a21),f13(a22,f3(a17))),f11(f15(a20),f13(a23,f3(a17)))))),f10(a1,a14),a14)
% 0.16/0.58  [7]~P1(x71,x72,a18)+P1(x71,f12(x72),a18)
% 0.16/0.58  [8]P1(x81,a7,a19)+P1(x82,a7,a19)+~P1(x86,a2,f16(a14))+~P1(f3(x85),f12(f5(a4,x86)),a18)+P1(f8(a4,f13(x83,f13(x84,f3(x85)))),f10(x86,a14),a14)+~P1(f6(a9,x82,f13(x83,f13(f11(f15(x81),f13(x83,f3(x85))),f11(f15(x82),f13(x84,f3(x85)))))),f10(x86,a14),a14)
% 0.16/0.58  %EqnAxiom
% 0.16/0.58  
% 0.16/0.58  %-------------------------------------------
% 0.16/0.58  cnf(10,plain,
% 0.16/0.58     ($false),
% 0.16/0.58     inference(scs_inference,[],[1,4,5,2,6,3,8,7]),
% 0.16/0.58     ['proof']).
% 0.16/0.58  % SZS output end Proof
% 0.16/0.58  % Total time :0.000000s
%------------------------------------------------------------------------------